Finding the Fourth Proportional to 59, 81.42 and 41.78
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Solution
The fourth proportional to 59, 81.42 and 41.78 is: 57.66
Step by Step Solution
- Step 1: Write the proportion equation
59 : 81.42 = 41.78 : x - Step 2: Convert to fraction form
59/81.42 = 41.78/x - Step 3: Cross multiply
59x = 81.42 × 41.78 - Step 4: Simplify right side
59x = 3,401.73 - Step 5: Solve for x
x = 3,401.73/59 - Step 6: Final answer
x = 57.66
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.